A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method

Abstract

Interpolation function is a key parameter for numerical simulation using finite-difference, finite-element, and finite-volume methods, especially when the advective terms of the conservation equations are considered. Due to the flow orientation, a first-order interpolation scheme such as upwind introduces a considerable degree of numerical diffusion in the numerical solution. In this work, we present a second-order total variation diminishing scheme in conjunction with 3D compositional reservoir simulation using the element-based finite-volume method (EbFVM). The results of several case studies using the hexahedron element are shown in terms of oil, water, and gas production, as well as saturation field.

Acknowledgments

The authors thank Dr. Chowdhury K. Mamun for his comments on this manuscript.

Notes

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